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Finding the Fourth Proportional to 164,392,426,200.15, 246,588,639,300.22 and 164,392,426,200.15

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Solution

The fourth proportional to 164,392,426,200.15, 246,588,639,300.22 and 164,392,426,200.15 is: 246,588,639,300.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    164,392,426,200.15 : 246,588,639,300.22 = 164,392,426,200.15 : x
  2. Step 2: Convert to fraction form
    164,392,426,200.15/246,588,639,300.22 = 164,392,426,200.15/x
  3. Step 3: Cross multiply
    164,392,426,200.15x = 246,588,639,300.22 × 164,392,426,200.15
  4. Step 4: Simplify right side
    164,392,426,200.15x = 40,537,304,687,956,822,327,296
  5. Step 5: Solve for x
    x = 40,537,304,687,956,822,327,296/164,392,426,200.15
  6. Step 6: Final answer
    x = 246,588,639,300.22

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.